(25+8m)/(m^2-25)-(m+2)/(5-m)*m/(m+5)

Question

(25+8m)/(m^2-25)-(m+2)/(5-m)*m/(m+5)

Answer 1

       25+8m         m(m+2)           25+8m+m²+2m       m²+10m+25    (m+5)(m+5)
= ----------------  - --------------- = - --------------------  = - --------------- = - ---------------=
    (m-5)(m+5)     (5-m)(m+5)       (m-5)(m+5)              (m-5)(m+5)    (m-5)(m+5)

        m+5
= -  ----------
        m-5